3005224400000 has 192 divisors, whose sum is σ = 7488775062720. Its totient is φ = 1201200000000.

The previous prime is 3005224399999. The next prime is 3005224400039. The reversal of 3005224400000 is 44225003.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 924398375 + ... + 924401625.

It is an arithmetic number, because the mean of its divisors is an integer number (39004036785).

Almost surely, 2^{3005224400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005224400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744387531360).

3005224400000 is an abundant number, since it is smaller than the sum of its proper divisors (4483550662720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3005224400000 is an frugal number, since it uses more digits than its factorization.

3005224400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5601 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 3005224400000 its reverse (44225003), we get a palindrome (3005268625003).

The spelling of 3005224400000 in words is "three trillion, five billion, two hundred twenty-four million, four hundred thousand".